The Fed creates reserves electronically, mainly by buying securities, and it issues paper currency only when banks order it for customers. When the Fed buys a Treasury from an investment fund in quantitative easing, two things rise at once: the bank serving the fund gets new reserves, and the fund gets a new deposit. That is how purchases can add to both kinds of money. Quantitative tightening, letting bonds mature without replacing them, works in reverse (QE and QT explained).
The pandemic is the clearest recent example. Fed assets went from $4.16 trillion on February 26, 2020 to $7.17 trillion on June 10, 2020, and broad money rose from $15.49 trillion in February 2020 to $21.79 trillion in March 2022, up 40.6% ($21,788.1B ÷ $15,492.8B = 1.406). Fed purchases, government transfers to households and new bank lending all fed into that rise; the data alone do not split it between them. On October 21, 2026 the Fed held $6.75 trillion of assets (H.4.1 via FRED).